Answer:
<em>99.93%</em>
Step-by-step explanation:
<u>Probability of Independent Events</u>
Given the probability of success of each detector is 0.84 independently of the others, their combined success/failure probability can be computed with the product rule.
We can calculate the required probability by using the binomial distribution, but it's easier to calculate the probability of the negated event an subtract from 1.
We want to know the probability that a least one of the 4 systems detects the occurrence of theft. That probability is the sum of the probabilities that one of them, two of them, three of them or all of them succeed. The negated event is that NONE of them actually detects the theft. Being p the individual probability of success, p=0.84. Being q the probability of failure, q=0.16.
The probability that none of the systems detect the theft is
Thus, the probability that at least one of the systems detect the theft is
That means a 99.93%
Answer:ur answer is 96
Step-by-step explanation:
Answer: 2mp
Step-by-step explanation: Let "b" represent the speed of the boat in still water
Let "c" represent the speed of the current
Let "t" represent time
Downstream(same direction) =(b+c)*t
Upstream(against current)=(b-c)*t
(b+c)*3=24
(b-c)*4=16
3b+3c=24....all sides can be divided by 3 =b+c=8
4b-4c=16.....all sides can be divided by 4 =b-c=4
Use Elimination method
b+c=8
b-c= 4 Subtracting
=====
2c=4
find c by dividing both sides by 2. c=2
if c=2, substitute to get b
b+2=8
-2=-2
======
b=6
Speed of boat in still water =6mph
rate of current=2mp
Answer:
13
Step-by-step explanation:
First, fill in 3 boxes of the table using the given information (blue numbers on the attached table)
"Of the 32 students that have a cell phone, 19 students do not have a tablet."
The top row of the table is students who have a cell phone. Therefore, place 19 in the box in this row that is in the "no tablet" column.
"Of the 70 students that have a tablet, 57 students do not have a cell phone."
The first column of the table is students who have a tablet. Therefore, place 57 in the box in the 2nd row of this column.
"11 students do not have a cell phone or a tablet."
Find the "no cell phone" row and the "no tablet" column and place 11 in the box that coincides.
We can calculate the blank totals using addition (shown by green numbers on the attached table)
- Total students with no cell phone = 57 + 11 = 68
- Total students with no tablet = 19 + 11 = 30
To calculate the number of students who have a cell phone AND a tablet:
⇒ Total students with a cell phone <em>minus</em> students with a cell phone but no tablet
⇒ 32 - 19 = 13
The ratio of the measures of two complementary angles is 1:5. What are the measures of the angles? A. 30
